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3 years ago

8

Which of the following would be the . most logical first step to solving this quadratic equation

2 answers:

mrs_skeptik [129]3 years ago

7 0

Hello!

When solving a quadratic equation, we should begin by confirming that the right side is equal to 0. The equation above, however, contains a 2 on the right side.

Therefore, the most logical first step would be to subtract 2 from both sides, leaving the ride side equal to 0.

I hope this helps!

Oliga [24]3 years ago

6 0

Answer:

Option D is correct.

Step-by-step explanation:

$x^2-4x+16= 2$

In order to simplify the equation the first step is to subtract 2 from both sides to make 0 in the right side and converting it in standard form

$ax^2+bx+c=0$

therefore option D is correct

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3 years ago

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If

valentinak56 [21]

Answer:

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

Step-by-step explanation:

Given monthly income of Ron is $3,142.23

Ron contributes 10% of his monthly income that is $ 314.223

Given : Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = $\frac{0.055}{12}$

time period = 40 years = 480 months

Principal amount = $ 314.223

Future value = $P(\frac{(1+r)^n-1}{r} )$

Substitute , we get,

$=3142.23\cdot\frac{.10\left(\left(1+\frac{.055}{12}\right)^{12\cdot40}-1\right)}{\frac{0.055}{12}}$

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

$P=\dfrac{A\cdot\frac{i}{12} }{1-(1+\frac{i}{12})^{-n}}$

Putting values , we get,

$P=\frac{\left(547074.68\cdot\frac{.055}{12}\right)}{1-\left(1+\frac{0.055}{12}\right)^{-240}}$

P = $3763.25

He will receive a monthly income of $3763.25.

But given he will need a monthly income of $4,123 for 20 years which is not met by Ron.

So,the amount he need to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

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